On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces

被引：4

作者：

Han, Ling-Xiong ^{[1
]}

Qi, Feng ^{[2
,3
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China

[2] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China

[3] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

MATHEMATICS | 2019年 / 7卷 / 01期

关键词：

approximation; linear combination; direct theorem; inverse theorem; equivalent theorem; Orlicz space; modified summation operators of integral type; K-functional; modulus; FAMILY; CONVERGENCE;

D O I：

10.3390/math7010006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors introduce the Orlicz spaces corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for linear combinations of modified summation operators of integral type in the Orlicz spaces.

引用

页数：10

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